32490

Appears in sequences

• a(n) = n^2*(n^2 - 1)/4.at n=19A006011
• a(n) = (1/4)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2)*floor((n-3)/2).at n=40A028723
• Number of orbits of length n under the full 19-shift (whose periodic points are counted by A001029).at n=3A060222
• Rounded volume of a regular octahedron with edge length n.at n=41A071400
• a(n) = ((prime(n))^4-(prime(n))^2)/4.at n=7A138420
• Convolution square of A003106.at n=47A145468
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, 1), (0, 1, 0), (1, 1, -1)}.at n=9A149937
• Number of (w,x,y,z) with all terms in {0,...,n}, w even and x odd.at n=18A212766
• Bisection of A006950 (the odd part).at n=26A233759
• Pisot sequence E(31,51), a(n)=[a(n-1)^2/a(n-2)+1/2].at n=14A275628
• Poincaré series for invariant polynomial functions on the space of binary forms of degree 9.at n=27A293934
• Numbers k such that there are exactly four biquadratefree powerful numbers (A338325) between k^2 and (k+1)^2.at n=32A338391
• a(0) = 1; a(n) = 2 * Sum_{k=1..n} binomial(n,k) * a(k-1).at n=7A343523
• Triangle read by rows: T(n,k) (1 <= k <= n) = number of n X k Baxter matrices in which all row sums are 1.at n=34A347678
• Positions k where A348733(k) is not multiplicative.at n=35A348740
• G.f. satisfies A(x) = exp( Sum_{k>=1} (3^k + A(x^k)) * x^k/k ).at n=7A363541